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30253036356 = 223632212
BaseRepresentation
bin11100001011001110…
…001011001101000100
32220002101102111000000
4130023032023031010
5443424234130411
621521551321300
72120461365114
oct341316131504
986071374000
1030253036356
1111915060a94
125a43820230
132b1192b85a
14166dcb5044
15bc0e5c956
hex70b38b344

30253036356 has 63 divisors (see below), whose sum is σ = 79402560013. Its totient is φ = 10081214640.

The previous prime is 30253036351. The next prime is 30253036357. The reversal of 30253036356 is 65363035203.

The square root of 30253036356 is 173934.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23337450756 + 6915585600 = 152766^2 + 83160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30253036356.

It is not an unprimeable number, because it can be changed into a prime (30253036351) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9390826 + ... + 9394046.

Almost surely, 230253036356 is an apocalyptic number.

30253036356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30253036356 is the 173934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30253036356

30253036356 is an abundant number, since it is smaller than the sum of its proper divisors (49149523657).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30253036356 is an frugal number, since it uses more digits than its factorization.

30253036356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Multiplying 30253036356 by its sum of digits (36), we get a square (1089109308816 = 10436042).

30253036356 divided by its sum of digits (36) gives a square (840362121 = 289892).

The spelling of 30253036356 in words is "thirty billion, two hundred fifty-three million, thirty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3221 6442 9663 12884 19326 28989 38652 57978 86967 115956 173934 260901 347868 521802 782703 1043604 1565406 2348109 3130812 4696218 9392436 10374841 20749682 31124523 41499364 62249046 93373569 124498092 186747138 280120707 373494276 560241414 840362121 1120482828 1680724242 2521086363 3361448484 5042172726 7563259089 10084345452 15126518178 30253036356